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Do human beings live for as long as a million hours?
If you have been alive for a million seconds, how many birthdays have you had?
What year was it one billion minutes ago?
How long would it take to count to a million?
Suppose you were worth your weight in £1 coins. How much would you be worth?
Could you fit the population of London into one hundred thousand double-decker buses?
Could you run one thousand metres in one minute?
Could you eat exactly one tonne of food in a year without altering your weight dramatically?
Could you walk as much as one hundred thousand miles during your lifetime?
Could one thousand drink cans fit into one cubic metre?
The questions are taken from Tony Gardiner's Maths Challenge, Book 1, Oxford University Press 2000.
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?
Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?